nLab John Frederick Jardine

John Frederick Jardine or Rick Jardine is a homotopy theorist at the University of Western Ontario in London, Canada. His work on model category structures on simplicial presheaves is fundamental in the subject. His web pages have much course material in homotopy theory, sheaf theory and related subjects.

• webpage

Selected writings

On simplicial homotopy theory:

• Paul Goerss, John Frederick Jardine, Simplicial homotopy theory, Progress in Mathematics, Birkhäuser (1999), Modern Birkhäuser Classics (2009) [doi:10.1007/978-3-0346-0189-4]

On the simplicial approximation theorem:

• John F. Jardine, Simplicial approximation, Theory and Applications of Categories, 12 2 (2004) 34-72 [tac:12-02, pdf]

On model structures on simplicial presheaves with an eye to application in motivic homotopy theory:

• John F. Jardine, Simplical presheaves, Journal of Pure and Applied Algebra 47 1 (1987) 35-87 [doi:10.1016/0022-4049(87)90100-9]

• John F. Jardine, Local homotopy theory, Springer Monographs in Mathematics (2015) [doi:10.1007/978-1-4939-2300-7]

with brief exposition in:

• John F. Jardine, Motivic spaces and the motivic stable category [pdf, pdf]

On nonabelian cohomology classifying principal infinity-bundles using model structures on simplicial presheaves:

• Rick Jardine, Z. Luo: Higher order principal bundles, Mathematical Proceedings of the Cambridge Philosophical Society 140 2 (2006) 221-243 [doi:10.1017/S0305004105008911, web.archive:pdf]

• J. F. Jardine: Cocycle categories, In: Baas N., Friedlander E., Jahren B., Østvær P. (eds) Algebraic Topology, Abel Symposia, vol 4. Springer 2009 (arXiv:math/0605198, doi:10.1007/978-3-642-01200-6_8)

On persistent homotopy theory:

• J. F. Jardine, Persistent homotopy theory (2020) $[$pdf, pdf$]$

• Rick Jardine, Thoughts on big data sets, talk at Homotopical Perspectives on TDA (2020)

category: people